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420414432131 = 4361472933893
BaseRepresentation
bin1100001111000101010…
…01110010001110000011
31111012011101220222020202
412013202221302032003
523342002043312011
6521045152155415
742242155465601
oct6074251621603
91435141828222
10420414432131
11152329a94411
126958bb38b6b
133084cb3b595
14164c3528871
15ae08c2923b
hex61e2a72383

420414432131 has 16 divisors (see below), whose sum is σ = 437349195360. Its totient is φ = 403808267520.

The previous prime is 420414432101. The next prime is 420414432169. The reversal of 420414432131 is 131234414024.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-420414432131 is a prime.

It is a super-2 number, since 2×4204144321312 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 420414432094 and 420414432103.

It is not an unprimeable number, because it can be changed into a prime (420414432101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12387221 + ... + 12421113.

It is an arithmetic number, because the mean of its divisors is an integer number (27334324710).

Almost surely, 2420414432131 is an apocalyptic number.

420414432131 is a deficient number, since it is larger than the sum of its proper divisors (16934763229).

420414432131 is a wasteful number, since it uses less digits than its factorization.

420414432131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38726.

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 420414432131 its reverse (131234414024), we get a palindrome (551648846155).

The spelling of 420414432131 in words is "four hundred twenty billion, four hundred fourteen million, four hundred thirty-two thousand, one hundred thirty-one".

Divisors: 1 43 61 2623 4729 33893 203347 288469 1457399 2067473 12404167 88901339 160279997 6892039871 9777079817 420414432131